Degree in Environmental Sciences

Zero Science Courses

Introductory Course to University Mathematics

Goals:

  • Provide adapted, organized, and targeted material for new students.
  • To offer, throughout the academic year, a study and learning platform that complements or corrects possible deficiencies in necessary knowledge, and that can be reviewed when detected and required.

This course is aimed at newly enrolled students who have identified gaps in the content of the 2nd year of Bachillerato curriculum. As a guide, we recommend taking this course if you meet any of the following conditions:

  • You have obtained a score lower than 7 in the subject Mathematics II in the PAU or 2nd year of Baccalaureate.
  • You have left unstudied some sections of the syllabus for the subject Mathematics II.
  • Clearly identify that you have deficiencies in the management of the subject of mathematics.

Timing: Throughout the academic year (available from July 27, 2026).

Mode: Online

Registration: New students will be sent a message with registration instructions.

Organization and contentsThis course is entirely voluntary and free. It is offered online and has no time limit, but we recommend completing it before the official start of classes for the 2026-27 academic year.

It has a modular structure and can be completed sequentially (module by module in order, which is what we recommend) or selectively (only the modules of interest, for those who wish to address a specific knowledge gap).
The course content is organized into 5 blocks:

  • Block 1: Numbers and operations
    Numbers, exponents, radicals, and scientific notation. Algebraic expressions, notable identities, and equations.
  • Block 2: Geometry
    Plane figures. Solid bodies. Surfaces and volumes. Trigonometry. Vectors, lines, and planes in the plane and in space.
  • Block 3: Algebra
    Matrices and systems of linear equations. Matrix algebra. Inverses of matrices and matrix equations. Determinants. Cramer's rule
  • Block 4: Functions. Differential Calculus
    Basic functions. Elementary transformations. Rate of change. Limits. Derivatives. Applications
  • Block 5: Integral Calculus
    Indefinite Integration: Primitives. Indefinite Integral. Immediate Integrals. Integration by Substitution. Integration by Parts. Integrals of Rational Functions.

You can access each block in any order you like.

Methodology: Each block consists of the following teaching materials:

  • PDF Notes: Very visual, very graphic, with definitions, properties, examples and exercises.
  • Videos explaining the material in the notes.
  • Videos with typical problem solving.
  • Sheets of proposed problems.
  • Progress quizzes: As you achieve the minimum score on your attempts, you'll be able to access subsequent content.

Important: This course does not grant academic credit. Its purpose is to serve as a support tool to help overcome difficulties related to the use and understanding of mathematics.

CommunicationThe course has a forum where you can ask questions about the course.
For any questions or individual queries regarding the organization of the course, you can contact the course coordinator at the following email address: cursoceromat@ull.es

Chemistry, Mathematics and Physics Course 0

With the aim of facilitating the integration of new students into university studies, the Degree in Environmental Sciences at the University of La Laguna offers at the beginning of the 2026-2027 academic year a Chemistry, Mathematics and Physics Course 0.

This activity is specifically aimed at students beginning their undergraduate studies and its purpose is to reinforce and standardize basic knowledge of these three subjects, providing the necessary tools to more confidently tackle the basic training subjects of the first year.

Course 0 will allow students to identify any gaps or difficulties in their prior knowledge, recall fundamental concepts necessary to begin a Science degree, and get started with the independent learning and work typical of university education. These objectives are explicitly included among the learning outcomes of the activity. 

What content will be covered?

The course is structured in three blocks: Physics, Chemistry and Mathematics, Combining a review of theoretical foundations with a highly practical, problem-solving approach. The course guide establishes a total of 30 hours in person, distributed between theoretical and practical classes. 

In Physics The course will cover, among other topics, magnitudes and units, significant figures, dimensional analysis, vectors, and concepts related to work, the moment of a force, trajectory, velocity, and acceleration. Chemistry Basic concepts and unit conversions will be reviewed, including the concept of the mole and stoichiometry, balancing chemical reactions, percent composition and determining formulas, as well as solutions and the different ways of expressing their concentration. The block of Math It will cover basic operations, powers and logarithms, equations, plane trigonometry, and elementary functions. The Teacher's Guide can be consulted here. link.

Organization and schedule

Course 0 will take place during the first two weeks of the academic year, with a particularly concentrated in-person workload before the start of regular first-year classes. The plan includes 20 hours in person during the first week and 10 during the second. 

According to the first course schedule, the sessions will begin on Tuesday, September 8 and will develop until the Friday, September 18, 2026, mainly in the morning. 

Place: Room 2.6 of the Chemistry Section

Period: From September 8 to 18, 2026

Schedule: According to the schedule of Course 0

Recipients: New students admitted to the Degree in Environmental Sciences

Mode: In person

Credits: 3 ECTS

Participation in Course 0 thus offers newly admitted students an opportunity to consolidate essential knowledge of Chemistry, Physics and Mathematics, detect possible difficulties from the beginning and face the subjects of the first year of the Degree in Environmental Sciences with a more solid foundation.